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Finding the Third Proportional to 489.80 and 613.20

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Solution

The third proportional to 489.80 and 613.20 is: 767.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.80 : 613.20 = 613.20 : x
  2. Step 2: Convert to fraction form
    489.80/613.20 = 613.20/x
  3. Step 3: Cross multiply
    489.80x = 613.20 × 613.20
  4. Step 4: Simplify right side
    489.80x = 376,008.49
  5. Step 5: Solve for x
    x = 376,008.49/489.80
  6. Step 6: Final answer
    x = 767.68

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These problems maintain the same ratio (1.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.